%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : HEN003-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 13:02:40 EDT 2022
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN003-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 14:22:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n018.cluster.edu,
% 0.12/0.35 Fri Jul 1 14:22:02 2022
% 0.12/0.35 The command was "./sos". The process ID is 9294.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.12/0.35
% 0.12/0.35 This is a Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.12/0.35 sos and nonpositive clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: clear(order_hyper).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.38
% 0.12/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 -------------- Softie stats --------------
% 0.12/0.38
% 0.12/0.38 UPDATE_STOP: 300
% 0.12/0.38 SFINDER_TIME_LIMIT: 2
% 0.12/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38 number of clauses in intial UL: 4
% 0.12/0.38 number of clauses initially in problem: 9
% 0.12/0.38 percentage of clauses intially in UL: 44
% 0.12/0.38 percentage of distinct symbols occuring in initial UL: 83
% 0.12/0.38 percent of all initial clauses that are short: 100
% 0.12/0.38 absolute distinct symbol count: 6
% 0.12/0.38 distinct predicate count: 2
% 0.12/0.38 distinct function count: 1
% 0.12/0.38 distinct constant count: 3
% 0.12/0.38
% 0.12/0.38 ---------- no more Softie stats ----------
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38 =========== start of search ===========
% 0.18/0.40
% 0.18/0.40 -------- PROOF --------
% 0.18/0.40 % SZS status Unsatisfiable
% 0.18/0.40 % SZS output start Refutation
% 0.18/0.40
% 0.18/0.40 Model 3 [ 2 1 73 ] (0.00 seconds, 312 Inserts)
% 0.18/0.40
% 0.18/0.40 Model 4 [ 1 0 104 ] (0.00 seconds, 259 Inserts)
% 0.18/0.40
% 0.18/0.40 Model 5 [ 4 1 140 ] (0.00 seconds, 1245 Inserts)
% 0.18/0.40
% 0.18/0.40 Model 6 [ 8 0 793 ] (0.00 seconds, 1631 Inserts)
% 0.18/0.40
% 0.18/0.40 ----> UNIT CONFLICT at 0.03 sec ----> 52 [binary,50.1,4.1] {-} $F.
% 0.18/0.40
% 0.18/0.40 Length of proof is 5. Level of proof is 5.
% 0.18/0.40
% 0.18/0.40 ---------------- PROOF ----------------
% 0.18/0.40 % SZS status Unsatisfiable
% 0.18/0.40 % SZS output start Refutation
% 0.18/0.40
% 0.18/0.40 1 [] {+} -less_equal(A,B)|divide(A,B)=zero.
% 0.18/0.40 2 [] {+} divide(A,B)!=zero|less_equal(A,B).
% 0.18/0.40 3 [] {+} -less_equal(A,B)| -less_equal(B,A)|A=B.
% 0.18/0.40 4 [] {+} divide(a,a)!=zero.
% 0.18/0.40 5 [] {+} less_equal(divide(A,B),A).
% 0.18/0.40 6 [] {-} less_equal(divide(divide(A,B),divide(C,B)),divide(divide(A,C),B)).
% 0.18/0.40 7 [] {+} less_equal(zero,A).
% 0.18/0.40 11,10 [hyper,5,1] {+} divide(divide(A,B),A)=zero.
% 0.18/0.40 35 [para_into,6.1.2,10.1.1] {-} less_equal(divide(divide(A,A),divide(B,A)),zero).
% 0.18/0.40 38 [hyper,35,3,7,flip.1] {-} divide(divide(A,A),divide(B,A))=zero.
% 0.18/0.40 40 [hyper,38,2] {-} less_equal(divide(A,A),divide(B,A)).
% 0.18/0.40 50 [hyper,40,3,5,demod,11,flip.1] {-} divide(A,A)=zero.
% 0.18/0.40 52 [binary,50.1,4.1] {-} $F.
% 0.18/0.40
% 0.18/0.40 % SZS output end Refutation
% 0.18/0.40 ------------ end of proof -------------
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 Search stopped by max_proofs option.
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 Search stopped by max_proofs option.
% 0.18/0.40
% 0.18/0.40 ============ end of search ============
% 0.18/0.40
% 0.18/0.40 ----------- soft-scott stats ----------
% 0.18/0.40
% 0.18/0.40 true clauses given 2 (20.0%)
% 0.18/0.40 false clauses given 8
% 0.18/0.40
% 0.18/0.40 FALSE TRUE
% 0.18/0.40 5 0 1
% 0.18/0.40 7 1 1
% 0.18/0.40 8 1 0
% 0.18/0.40 9 0 3
% 0.18/0.40 11 2 1
% 0.18/0.40 12 0 1
% 0.18/0.40 13 4 0
% 0.18/0.40 14 1 1
% 0.18/0.40 15 2 0
% 0.18/0.40 17 3 0
% 0.18/0.40 21 1 2
% 0.18/0.40 23 0 1
% 0.18/0.40 25 0 1
% 0.18/0.40 tot: 15 12 (44.4% true)
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 Model 6 [ 8 0 793 ] (0.00 seconds, 1631 Inserts)
% 0.18/0.40
% 0.18/0.40 That finishes the proof of the theorem.
% 0.18/0.40
% 0.18/0.40 Process 9294 finished Fri Jul 1 14:22:02 2022
%------------------------------------------------------------------------------